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Questions tagged [number-property]

Puzzles that use number properties such as even and odd, multiples of numbers, part of a well-known sequence (i.e. Fibonacci) or theorem (Pythagorean relations) or others in part of the method to solve the question.

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5 votes
2 answers
237 views

Follow the path of relation through the grid #5

There is a relation between rectilinear-adjacent squares such that there is a unique rectilinear path from the top-left corner of the grid down to the bottom-right corner of the grid. Each square can ...
Galen's user avatar
  • 2,296
14 votes
3 answers
721 views

Hiker's Cabin Mystery | Pt. II

See Part I | See Part III Nice one, @GarethMcCaughan! Finally, you've gotten into his computer using the password you managed to decode from his clues... but there's another issue! There is a ...
Voldemort's Wrath's user avatar
5 votes
1 answer
154 views

Follow the path of relation through the grid #6

There is a relation between rectilinear-adjacent squares such that there is a unique rectilinear path from the top-left corner of the grid down to the bottom-right corner of the grid. Each square can ...
Galen's user avatar
  • 2,296
19 votes
1 answer
1k views

What node does 11 point to?

If we included 11 in the diagram below, which node would it connect to? Hint 1
Galen's user avatar
  • 2,296
12 votes
6 answers
11k views

Make numbers 1 - 30 using the digits 2, 0, 2, 4

Try to make all numbers 1-30 using the digits 2, 0, 2, 4. Rules: Use all four digits exactly once. Allowed operations: $+, -, \times, ÷, !$ (factorial), x^y (exponentiation), √ (square root). ...
jac's user avatar
  • 137
8 votes
9 answers
2k views

Multilanguage generalization of "What number is that? Asks Grandpa"

This is a multilingual generalized follow-on to "What number is that? Asks Grandpa", which I restate as: "What is the smallest positive English integer N, for which if you take its WORD anagram and ...
smci's user avatar
  • 914
30 votes
1 answer
2k views

What is a BEN Number™?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with Number version puzzles. If a number conforms to a special rule, I call it a BEN Number™. Use the following examples ...
Conifers's user avatar
  • 5,639
19 votes
11 answers
5k views

How to solve 1 2 3 4 5 = 5 4 3 2 1 (insert five pluses to make it equal)? A thorough solution needed

I consider it an amazing though very challenging puzzle: 1 2 3 4 5 = 5 4 3 2 1 One must insert exactly five pluses (i.e. five addition signs) somewhere between those ten displayed figures in such way ...
Alexander's user avatar
  • 605
14 votes
2 answers
2k views

Largest number with no repeating digit pairs

What is the largest whole number that you can form, such that no pair of consecutive digits occurs more than once? For example you can have 34543, but you cannot have 34534 as the pair "34" ...
Dmitry Kamenetsky's user avatar
12 votes
2 answers
838 views

What do 84, 96 and 108 have in common?

There's a certain property that's shared between (as far as I know) infinite positive integers including 84, 96 and 108. Below are the first thousand numbers with this property; I added that many in ...
Peter's user avatar
  • 613
12 votes
1 answer
476 views

What is a Trinity Number™?

This is inspired by the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles, and the Number™ series. If a number conforms to a special rule, I call it a ...
DenverCoder1's user avatar
  • 10.5k
8 votes
4 answers
1k views

A "Find the Path" Puzzle

I invented a puzzle, inspired by Simon Tatham's Portable Puzzle Collection. Is there anything that it could improve on? Was it too easy, or was it too hard? Anything I could add? What must I call it? ...
Mr Pie's user avatar
  • 6,682
8 votes
2 answers
273 views

Half and Double Value

A 3 year old child tried to input or copy a number (written on the paper) to a calculator but he messed up with the digit places. All the digits are there but the value of the number he inputed ...
TSLF's user avatar
  • 6,678
5 votes
8 answers
624 views

Make $1,\dots,15$ using $3, 9, 9, 9$

This was inspired by many puzzles that use three/four numbers to create other numbers. I chose these numbers in particular because of this post. Can you find a way to make all the natural numbers ...
Mr Pie's user avatar
  • 6,682
0 votes
1 answer
335 views

The maze of everlasting flowers

You were recently caught trespassing on the queen's hunting grounds. The punishment for this crime is a miserable experience the locals call the maze of everlasting flowers: The full resolution of ...
Taco's user avatar
  • 10.6k
0 votes
1 answer
803 views

100 lightbulbs in a room [duplicate]

There are 100 lightbulbs in a room, each with it’s own switch in the off position (all lightbulbs work and start off, no funny business). There are also 100 people numbered from 1 to 100 standing ...
Cotton Headed Ninnymuggins's user avatar
-2 votes
1 answer
295 views

Pick the odd one out: 146, 821, 704, 603 [closed]

I am preparing for an exam, and I came across this puzzle(aptitude) question. The question is to Pick the 'odd one out' and there are four options given. 146, 821, 704, 603 The correct answer is 603....
Sahil's user avatar
  • 123